The communicative power of face makes modeling and tracking of the face an active research topic. The new MPEG4 standard includes support not only for natural video and audio, but also for synthetic graphics and sound. Representation and animation control of human faces are defined by deforming a generic facial model. We hereby use this standard as a testbed for our nonrigid motion analysis on ...

Some geometric inequalities for convex bodies, where the equality cases characterize simplices, are improved in the form of stability estimates. The inequalities all deal with covering by homothetic copies. Mathematics Subject Classification (2000). Primary 52A40, Secondary 52A21.

Model predictive control (MPC) for uncertain systems in the presence of hard constraints on state and input is a non-trivial problem, challenge increased manyfold absence measurements. In this paper, we propose an adaptive output feedback MPC technique, based novel combination observer robust MPC, single-input single-output discrete-time linear time-invariant systems. At each time instant, prov...

in this paper, we study cyclic surfaces in 5 1 e generated by homothetic motions of a lorentziancircle. the properties of these cyclic surfaces up to first order are investigated. we show that, as it is shown ine5 , cyclic 2-surfaces in 5 1 e , in general, are contained in canal hypersurfaces. finally, we give an example.

A centrally symmetric convex body is a compact set with non-empty interior that about the origin. Of particular interest are those both smooth and strictly convex—known here as regular bodies—since they retain many of useful properties d-dimensional Euclidean ball. We prove for any given C, homothetic packing copies C randomly chosen radii will have (2, 2)-sparse planar contact graph. further t...